Stability analysis of an interrupted circuit with fast-scale and slow-scale bifurcations

In this paper, we analyze stability of the fast-scale and slow-scale dynamics in an interrupted electric circuit. First, we show the full-bridge inverter, as the practical example, in which fast-scale and slow-scale bifurcations are observed. Next, we show our original circuit model and explain its dynamics. Using the sampled data model, we calculate stability of the fast-scale and slow-scale dynamics. Finally, we mathematically show that the period-doubling bifurcation, which occurs in the fast-scale dynamics, does not directly affect the stability of the slow-scale dynamics.